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1 | CP Algebra II Pacing Guide | |||||||||||||||||||||||||
2 | Two-week summary of major instructional content and skills • 36 instructional weeks | |||||||||||||||||||||||||
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4 | Week(s) | Unit / Text | Major Content | Major Skills and Assessments | ||||||||||||||||||||||
5 | Weeks 1–2 | Unit 1: Lines, Exponents, and Radicals | Graphing Lines in Slope Intercept From; Creating Equations of Lines; Graphing Equations in Standard From (9 days) | Graphing Equations in slope Intercept Form; Create the Equation of a Line; Graph Equations in Standard Form | ||||||||||||||||||||||
6 | Weeks 3–4 | Unit 1: Lines, Exponents, and Radicals | Exponents and Properties Of Exponents; Simplify Radicals (9 days) | Learn the properties of exponents so they can simplify expressions; Simplify Radicals and algebraic radical expressions | ||||||||||||||||||||||
7 | Weeks 5–6 | Unit 1: Lines, Exponents, and Radicals | Operations with Radicals; Imaginary Numbers; Complex Numbers; Unit 1 Assessement (10 days) | How to perform operations on radicals; Understand imaginary numbers and how to simplify them; Complete operations on complex numbers; Students take a summative Test on Lines, Exponents, Radicals | ||||||||||||||||||||||
8 | Weeks 7–8 | Unit 2: Quadratics | Solve Systems by Graphing; Solving Systems by Substitution; Systems of Equations Using Elimination; Systems of Equations In three Variables; Factoring Trinomials (10 days) | Solve systems of equations by graphing; Solving systems of equations using the method of substittuion; Solving Systems Using the method of Elimination; Learn how to solve systems of three equations with Three Unknowns; Use methods to factor trinomial expression and equations and difference of squares rules | ||||||||||||||||||||||
9 | Weeks 9–10 | Unit 2: Quadratics | Factoring Quadratic Form; Factor By Grouping; Factoring the Sum or Difference of Cubes; Solve Equations by Factoring; The Quadratic Formula (10 days) | Factor an expression in Trinomial Form (of Higher order then degree 2); Factor Multinomial and Trinomial expressions by grouping; Factor special situation that are the sum and difference of cubes; Solve an equation or function involving a quadratic via the method of factoring; Memorize* the Quadratic Formula in order to use it solve quadratics using the method of the quadratic formula | ||||||||||||||||||||||
10 | Weeks 11–12 | Unit 2: Quadratics | Completing the Square; Parabola Features; Graphing Quadratics in Standard Form; Graphing Quadratics in Vertex Form (9 days) | Solve Quadratic Equations Using the Method of Completing the Square; Learn the features of parabolas and how they relate to the equation of a quadratic; How to graph equations that are in standard form using a Axis of Symmetry; How to graph a quadratic that is in Vertex From | ||||||||||||||||||||||
11 | Weeks 13–14 | Unit 2: Quadratics / Unit 3: Functions | Creating Quadratic Equations; Application of Quadratics; Unit 2 Assessment; Parent Graphs; Transformation of Graphs (9 days) | How to Create Quadratic Equations; Solve real world problems involving the application of Quadratic Equations; Summative Assessment on Quadratics; Identify parent graphs; Today we are learning how to translate and reflect parent graphs and create an equation from a translated/reflected parent graph; Assessments: Unit 2 Assessment | ||||||||||||||||||||||
12 | Weeks 15–16 | Unit 3: Functions | Piecewise Functions; Average Rate of Change; Domain/Range, Inc/Decr, Positive/Negative (10 days) | Graph piecewise functions; Calculate the average rate of change; Determine key features of graphs | ||||||||||||||||||||||
13 | Weeks 17–18 | Unit 3: Functions / Unit 4: Polynomials | Inverse Functions; Unit 3 Assessment; Polynomial Terminolgy; Add, Subtract, Multiply Polynomials; Polynomial Long Division (10 days) | Today we are learning how to determine the inverse function; Today we are to write a polynomial in standard form and learning polynomial terminology; Add, subtract, and multiply polynomials so that we can simplify expressions; Divide polynomials using long division; Assessments: Unit 3 Assessment | ||||||||||||||||||||||
14 | Weeks 19–20 | Unit 4: Polynomials | Synthetic Division; Remainder Theorem; Finding Roots From Factors; Rational Root Theorem (9 days) | Divide polynomials using synthetic division; Today we are learning the remainder theorem; Find roots of polynomials when given factors; Today we are learning how to find roots using rational root theorem | ||||||||||||||||||||||
15 | Weeks 21–22 | Unit 4: Polynomials / Unit 5: Rational Functions | End Behavior; Graphing Polynomials; Creating Polynomial Equations; Unit 4 Assessment; Simplifying Rational Expressions (9 days) | Today we are learning how to determine the end behavior of a graph; Graph polynomials; Create polynomial equations; Simplify rational expressions; Assessments: Unit 4 Assessment | ||||||||||||||||||||||
16 | Weeks 23–24 | Unit 5: Rational Functions | Multiplying and Dividing Rational Expressions; Adding and Subtracting Rational Expressions; Complex Fractions; Solving Rational Equations (10 days) | Add, subtract, and multiply polynomials so that we can simplify expressions; Add and subtract rational expressions; Simplify complex fractions; Solve rational equations | ||||||||||||||||||||||
17 | Weeks 25–26 | Unit 5: Rational Functions / Unit 6: Exponential and Logarithmic Functions | Graphing Rational Expressions; Unit 5 Assessment; Solving Exponential Functions; Differentiate Between Linear and Exponential Functions; Solving Compounding Exponential functions; Solving Countinuously and doubling Exponential Functions (10 days) | Graph rational expressions; Solve exponential functions; Differentiate between linear and exponential functions from a table; Solve compounding exponential functions; Solve continuously compounding and doubling exponential functions; Assessments: Unit 5 Assessment | ||||||||||||||||||||||
18 | Weeks 27–28 | Unit 6: Exponential and Logarithmic Functions | Solve for an unknown Variable in an Exponential Functions; Solving By Finding a Common Base; Evaluating Logarithmic Functions; Laws of Logarithms; Solving Exponetials using Logarithms (9 days) | Find the unknown variable in an exponential function; The 1 to 1 principle to solve exponentials by finding the same base; Evaluate and simplfy logarithm expressions; The law of logarithms to rewrite and simplify exponential and logarithmic expressions; Our logarithm and exponential properties to solve for x in logarithmic and exponential functions | ||||||||||||||||||||||
19 | Weeks 29–30 | Unit 6: Exponential and Logarithmic Functions / Unit 7: Sequences and Series | Solving Logarithmic Functions; Unit 6 Assessment; Arithmetic Sequences; Arithmetic Series (10 days) | The properties of logarithms and the one to one property to solve dedicated logarithmic functions for x; Find terms of an arithmetic sequence and write formulas to represent arithmetic sequences; Find the sum of an arithmetic series; Assessments: Unit 6 Assessment | ||||||||||||||||||||||
20 | Weeks 31–32 | Unit 7: Sequences and Series / Unit 8: Probability and Statistics | Geometric Sequences; Geometric Series; Unit 7 Assessment; Graphs/Central Tendancy (10 days) | Find terms of a geometric sequence and write formulas to represent geometric sequences; Find the sum of a geometric series; Interpret graphs; Assessments: Unit 7 Assessment | ||||||||||||||||||||||
21 | Weeks 33–34 | Unit 8: Probability and Statistics | The Normal Curve; FCP, Combonations, and Permutations; Simple Probability (11 days) | Analyze a normal curve; Calculate the number of outcomes for an event; Calculate the probability of an event | ||||||||||||||||||||||
22 | Weeks 35–36 | Unit 8: Probability and Statistics / Unit 9: Conic Sections | Probabilty of and/or Statements; Conditional Probability; Unit 8 Assessment; Any remianing time prior to the final will be dediated to and introduction of conic seections (11 days) | Today we are finding the probability of an and/or event; Today we will be learning the conditional probability rules; Any remianing time prior to the final will be dediated to and introduction of conic seections; Assessments: Unit 8 Assessment | ||||||||||||||||||||||
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